Pith Number

pith:D3QZJ6CO

pith:2008:D3QZJ6COG2CAVQDIKG6MQQJDFZ

not attested not anchored not stored refs pending

Note on radial Dunkl processes

Nizar Demni

arxiv:0812.4269 v3 · 2008-12-22 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D3QZJ6COG2CAVQDIKG6MQQJDFZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:59:49.800276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ee194f84e36840ac06851bcc841232e47f3b348b796c20dd1007918a3b55b38

Aliases

arxiv: 0812.4269 · arxiv_version: 0812.4269v3 · doi: 10.48550/arxiv.0812.4269 · pith_short_12: D3QZJ6COG2CA · pith_short_16: D3QZJ6COG2CAVQDI · pith_short_8: D3QZJ6CO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/D3QZJ6COG2CAVQDIKG6MQQJDFZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1ee194f84e36840ac06851bcc841232e47f3b348b796c20dd1007918a3b55b38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cc7af4e8985b6800333aeda29b35c43780f3f5242722928c6fd6697eb2e2d0d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-12-22T19:09:29Z",
    "title_canon_sha256": "a62f9b8dc2b20eff0fbe23bdc1484568161eec66894fc112e9b480dee06e3a5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4269",
    "kind": "arxiv",
    "version": 3
  }
}